91Ó°ÊÓ

is a common side of two congruent quadrilaterals.

Name the coordinates of two possible points H such that

ART

$△\mathbf{ABC}$and$△\mathbf{ABD}$ are congruent right triangles with common hypotenuse$\stackrel{¯}{\mathrm{AB}}$ . Write the theorem that allows you to conclude that point$\mathbf{B}$ lies on the bisector of$∠\mathbf{DAC}$ .

Given:$∠\text{l}â‰\dots ∠2;∠3â‰\dots ∠4$

Prove:$\mathrm{Δ}ZXY$is isosceles.

Solve each equation by factoring or by using the quadratic formula. The quadratic formula is:

If $a{x}^2+bx+c=0$, with$a≠0$, then$x=\frac{−bÂ\pm \sqrt{b^2−4ac}}{2a}$.

$15+4y^2=17y$

$\stackrel{\mathit{¯}}{\mathit{\text{OR}}}$is a common side of two congruent quadrilaterals.

Complete: quad. $\text{NERO}â‰\dots$quad $\underset{¯}{?}$.

Given: $∠\mathbf{4}â‰\dots ∠\mathbf{7};∠\mathbf{1}â‰\dots ∠\mathbf{3}$

Prove: $\mathrm{Δ}\mathbf{ABC}$is isosceles.

Write a detailed plan for proof.

Given: $\stackrel{¯}{\mathrm{FL}}â‰\dots \stackrel{¯}{\mathrm{AK}};\stackrel{¯}{\mathrm{SF}}â‰\dots \stackrel{¯}{\mathrm{SK}};\mathbf{M}$is the midpoint of $\stackrel{¯}{\mathrm{SF}};\mathbf{N}$is the midpoint of $\stackrel{¯}{\mathrm{SK}}$.

Prove:$\stackrel{¯}{\mathrm{AM}}â‰\dots \stackrel{¯}{\mathrm{LN}}$

Given: $â–³LMNâ‰\dots â–³RST$_;$\stackrel{\mathit{¯}}{LX}$_{and $\stackrel{\mathit{¯}}{RY}$are altitudes.}

Prove:$\stackrel{¯}{\mathit{L}\mathit{X}}â‰\dots \stackrel{¯}{\mathit{R}\mathit{Y}}$

$\stackrel{¯}{\text{OR}}$is a common side of two congruent quadrilaterals.

Complete: quad. $\text{NERO}â‰\dots$quad $\underset{¯}{?}$.